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Finding the Third Proportional to 187,441 and 299,789

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Solution

The third proportional to 187,441 and 299,789 is: 479,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,441 : 299,789 = 299,789 : x
  2. Step 2: Convert to fraction form
    187,441/299,789 = 299,789/x
  3. Step 3: Cross multiply
    187,441x = 299,789 × 299,789
  4. Step 4: Simplify right side
    187,441x = 89,873,444,521
  5. Step 5: Solve for x
    x = 89,873,444,521/187,441
  6. Step 6: Final answer
    x = 479,475.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.